Extensions 1→N→G→Q→1 with N=C₅xDic₆ and Q=C₄

Direct product G=NxQ with N=C₅xDic₆ and Q=C₄

		d	ρ	Label	ID
C₂₀xDic₆		480		C20xDic6	480,747

Semidirect products G=N:Q with N=C₅xDic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₆):₁C₄ = Dic₆:F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8-	(C5xDic6):1C4	480,229
(C₅xDic₆):₂C₄ = D₆₀:₂C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8+	(C5xDic6):2C4	480,233
(C₅xDic₆):₃C₄ = Dic₆:₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8-	(C5xDic6):3C4	480,984
(C₅xDic₆):₄C₄ = Dic₃₀:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8-	(C5xDic6):4C4	480,230
(C₅xDic₆):₅C₄ = D₆₀:₅C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8+	(C5xDic6):5C4	480,234
(C₅xDic₆):₆C₄ = F₅xDic₆	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	120	8-	(C5xDic6):6C4	480,982
(C₅xDic₆):₇C₄ = C₁₀.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):7C4	480,49
(C₅xDic₆):₈C₄ = C₆₀.₉₉D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):8C4	480,55
(C₅xDic₆):₉C₄ = Dic₅xDic₆	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):9C4	480,408
(C₅xDic₆):₁₀C₄ = Dic₆:Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):10C4	480,48
(C₅xDic₆):₁₁C₄ = C₆₀.₉₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):11C4	480,54
(C₅xDic₆):₁₂C₄ = Dic₁₅:₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):12C4	480,420
(C₅xDic₆):₁₃C₄ = C₅xC₄²:₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	120	2	(C5xDic6):13C4	480,124
(C₅xDic₆):₁₄C₄ = C₅xC₂.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):14C4	480,135
(C₅xDic₆):₁₅C₄ = C₅xC₆.SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):15C4	480,129
(C₅xDic₆):₁₆C₄ = C₅xD₁₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	120	4	(C5xDic6):16C4	480,144
(C₅xDic₆):₁₇C₄ = C₅xDic₆:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	480		(C5xDic6):17C4	480,766

Non-split extensions G=N.Q with N=C₅xDic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xDic₆).₁C₄ = Dic₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	240	8+	(C5xDic6).1C4	480,992
(C₅xDic₆).₂C₄ = D₆₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅xDic₆	240	8+	(C5xDic6).2C4	480,990
(C₅xDic₆).₃C₄ = D₁₂.₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	240	4	(C5xDic6).3C4	480,362
(C₅xDic₆).₄C₄ = D₁₂.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	240	4	(C5xDic6).4C4	480,364
(C₅xDic₆).₅C₄ = C₅xD₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅xDic₆	240	4	(C5xDic6).5C4	480,786
(C₅xDic₆).₆C₄ = C₅xC₈oD₁₂	φ: trivial image	240	2	(C5xDic6).6C4	480,780

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